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Finding the Third Proportional to 634,734 and 927,783

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Solution

The third proportional to 634,734 and 927,783 is: 1,356,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,734 : 927,783 = 927,783 : x
  2. Step 2: Convert to fraction form
    634,734/927,783 = 927,783/x
  3. Step 3: Cross multiply
    634,734x = 927,783 × 927,783
  4. Step 4: Simplify right side
    634,734x = 860,781,295,089
  5. Step 5: Solve for x
    x = 860,781,295,089/634,734
  6. Step 6: Final answer
    x = 1,356,129.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.